# Mid Point Calculator

Calculate the midpoint between two Entered coordinates (x

_{1}, y

_{1}) and (x

_{2}, y

_{2}) in the XY plane by averaging the XY coordinates. The Midpoint Between (x

_{1}, y

_{1}) and (x

_{2}, y

_{2}) points measure a linear midpoint between two locations.

Midpoint Formula: M = ((x

_{1}+ x

_{2})/2 , (y

_{1}+ y

_{2})/2)

**Therefore we can define the Midpoint as follows:**

The line segment **AB** is a part of the line that is bound by two distinct points **A** and **B**, which are called the endpoints of the line segment **AB**. The point **M** is the midpoint of the line segment **AB** if it is an element of the segment and divides it into two congruent segments, **AM and MB**. Each segment between the midpoint M and an endpoint have the equal length. The midpoint is the center, or middle, of a line segment. Any line segment has a unique midpoint. So, we can find the midpoint of any segment on the coordinate plane by using the mipoint formula.

$$ M(x_M,y_M)\equiv M(\frac{x_A + x_B}{2}, \frac{y_A + y_B}{2})$$
$$ or\equiv (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$$